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Matematicheskie Zametki, 2011, Volume 89, Issue 4, Pages 495–502
DOI: https://doi.org/10.4213/mzm9095 (Mi mzm9095) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On Large Values of the Function $S(t)$ on Short Intervals

R. N. Boyarinov

M. V. Lomonosov Moscow State University
Full-text PDF (400 kB) Citations (5) English version article
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DOI: https://doi.org/10.4213/mzm9095
Abstract: We prove a theorem on upper and lower bounds for the argument $S(t)$ of the Riemann zeta function on short intervals of the critical line.
Keywords: Riemann zeta function, prime number, Riemann hypothesis, Selberg's formula.
Received: 28.12.2009
English version:
Mathematical Notes, 2011, Volume 89, Issue 4, Pages 472–479
DOI: https://doi.org/10.1134/S0001434611030187
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: R. N. Boyarinov, “On Large Values of the Function $S(t)$ on Short Intervals”, Mat. Zametki, 89:4 (2011), 495–502; Math. Notes, 89:4 (2011), 472–479
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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